!> @file ocean_mod.f90 !------------------------------------------------------------------------------! ! This file is part of the PALM model system. ! ! PALM is free software: you can redistribute it and/or modify it under the ! terms of the GNU General Public License as published by the Free Software ! Foundation, either version 3 of the License, or (at your option) any later ! version. ! ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. ! ! You should have received a copy of the GNU General Public License along with ! PALM. If not, see . ! ! Copyright 2017-2018 Leibniz Universitaet Hannover !--------------------------------------------------------------------------------! ! ! Current revisions: ! ----------------- ! ! ! Former revisions: ! ----------------- ! $Id: ocean_mod.f90 4329 2019-12-10 15:46:36Z oliver.maas $ ! Renamed wall_flags_0 to wall_flags_static_0 ! ! 4272 2019-10-23 15:18:57Z schwenkel ! Further modularization of boundary conditions: moved boundary conditions to ! respective modules ! ! 4196 2019-08-29 11:02:06Z gronemeier ! Consider rotation of model domain for calculating the Stokes drift ! ! 4182 2019-08-22 15:20:23Z scharf ! Corrected "Former revisions" section ! ! 4110 2019-07-22 17:05:21Z suehring ! Pass integer flag array as well as boundary flags to WS scalar advection ! routine ! ! 4109 2019-07-22 17:00:34Z suehring ! implemented ocean_actions ! ! 3767 2019-02-27 08:18:02Z raasch ! unused variable for file index and tmp_2d removed from rrd-subroutine parameter ! list ! ! 3719 2019-02-06 13:10:18Z kanani ! Changed log_point to log_point_s, otherwise this overlaps with ! 'all progn.equations' cpu measurement. ! ! 3684 2019-01-20 20:20:58Z knoop ! nopointer option removed ! 3294 2018-10-01 02:37:10Z raasch ! initial revision ! ! ! Authors: ! -------- ! @author Siegfried Raasch ! ! Description: ! ------------ !> This module contains relevant code for PALM's ocean mode, e.g. the !> prognostic equation for salinity, the equation of state for seawater, !> the Craik Leibovich force (Stokes force), and wave breaking effects !------------------------------------------------------------------------------! MODULE ocean_mod USE arrays_3d, & ONLY: prho, prho_1, rho_ocean, rho_1, sa, sa_init, sa_1, sa_2, sa_3, & sa_p, tsa_m, flux_l_sa, flux_s_sa, diss_l_sa, diss_s_sa USE control_parameters, & ONLY: atmos_ocean_sign, bottom_salinityflux, & constant_top_salinityflux, ocean_mode, top_salinityflux, & wall_salinityflux, loop_optimization, ws_scheme_sca USE kinds USE pegrid, & ONLY: threads_per_task USE statistics, & ONLY: sums_wssas_ws_l USE indices, & ONLY: advc_flags_s, nxl, nxr, nyn, nys, nzb, nzt, wall_flags_static_0 USE surface_mod, & ONLY: bc_h, surf_def_v, surf_def_h, surf_lsm_h, surf_lsm_v, & surf_usm_h, surf_usm_v IMPLICIT NONE CHARACTER (LEN=20) :: bc_sa_t = 'neumann' !< namelist parameter INTEGER(iwp) :: ibc_sa_t !< integer flag for bc_sa_t INTEGER(iwp) :: iran_ocean = -1234567 !< random number used for wave breaking effects INTEGER(iwp) :: sa_vertical_gradient_level_ind(10) = -9999 !< grid index values of sa_vertical_gradient_level(s) LOGICAL :: salinity = .TRUE. !< switch for using salinity LOGICAL :: stokes_force = .FALSE. !< switch to switch on the Stokes force LOGICAL :: wave_breaking = .FALSE. !< switch to switch on wave breaking effects LOGICAL :: surface_cooling_switched_off = .FALSE. !< variable to check if surface heat flux has been switched off REAL(wp) :: alpha_wave_breaking = 3.0_wp !< coefficient for wave breaking generated turbulence from Noh et al. (2004), JPO REAL(wp) :: prho_reference !< reference state of potential density at ocean surface REAL(wp) :: sa_surface = 35.0_wp !< surface salinity, namelist parameter REAL(wp) :: sa_vertical_gradient(10) = 0.0_wp !< namelist parameter REAL(wp) :: sa_vertical_gradient_level(10) = -999999.9_wp !< namelist parameter REAL(wp) :: stokes_waveheight = 0.0_wp !< wave height assumed for Stokes drift velocity REAL(wp) :: stokes_wavelength = 0.0_wp !< wavelength assumed for Stokes drift velocity REAL(wp) :: surface_cooling_spinup_time = 999999.9_wp !< time after which surface heat flux is switched off REAL(wp) :: timescale_wave_breaking !< time scale of random forcing REAL(wp) :: u_star_wave_breaking !< to store the absolute value of friction velocity at the ocean surface REAL(wp), DIMENSION(12), PARAMETER :: nom = & (/ 9.9984085444849347D2, 7.3471625860981584D0, & -5.3211231792841769D-2, 3.6492439109814549D-4, & 2.5880571023991390D0, -6.7168282786692354D-3, & 1.9203202055760151D-3, 1.1798263740430364D-2, & 9.8920219266399117D-8, 4.6996642771754730D-6, & -2.5862187075154352D-8, -3.2921414007960662D-12 /) !< constants used in equation of state for seawater REAL(wp), DIMENSION(13), PARAMETER :: den = & (/ 1.0D0, 7.2815210113327091D-3, & -4.4787265461983921D-5, 3.3851002965802430D-7, & 1.3651202389758572D-10, 1.7632126669040377D-3, & -8.8066583251206474D-6, -1.8832689434804897D-10, & 5.7463776745432097D-6, 1.4716275472242334D-9, & 6.7103246285651894D-6, -2.4461698007024582D-17, & -9.1534417604289062D-18 /) !< constants used in equation of state for seawater SAVE PUBLIC :: bc_sa_t, ibc_sa_t, prho_reference, sa_surface, & sa_vertical_gradient, sa_vertical_gradient_level, & sa_vertical_gradient_level_ind, stokes_force, wave_breaking INTERFACE eqn_state_seawater MODULE PROCEDURE eqn_state_seawater MODULE PROCEDURE eqn_state_seawater_ij END INTERFACE eqn_state_seawater INTERFACE eqn_state_seawater_func MODULE PROCEDURE eqn_state_seawater_func END INTERFACE eqn_state_seawater_func INTERFACE ocean_check_parameters MODULE PROCEDURE ocean_check_parameters END INTERFACE ocean_check_parameters INTERFACE ocean_check_data_output MODULE PROCEDURE ocean_check_data_output END INTERFACE ocean_check_data_output INTERFACE ocean_check_data_output_pr MODULE PROCEDURE ocean_check_data_output_pr END INTERFACE ocean_check_data_output_pr INTERFACE ocean_define_netcdf_grid MODULE PROCEDURE ocean_define_netcdf_grid END INTERFACE ocean_define_netcdf_grid INTERFACE ocean_data_output_2d MODULE PROCEDURE ocean_data_output_2d END INTERFACE ocean_data_output_2d INTERFACE ocean_data_output_3d MODULE PROCEDURE ocean_data_output_3d END INTERFACE ocean_data_output_3d INTERFACE ocean_header MODULE PROCEDURE ocean_header END INTERFACE ocean_header INTERFACE ocean_init MODULE PROCEDURE ocean_init END INTERFACE ocean_init INTERFACE ocean_init_arrays MODULE PROCEDURE ocean_init_arrays END INTERFACE ocean_init_arrays INTERFACE ocean_parin MODULE PROCEDURE ocean_parin END INTERFACE ocean_parin INTERFACE ocean_actions MODULE PROCEDURE ocean_actions MODULE PROCEDURE ocean_actions_ij END INTERFACE ocean_actions INTERFACE ocean_prognostic_equations MODULE PROCEDURE ocean_prognostic_equations MODULE PROCEDURE ocean_prognostic_equations_ij END INTERFACE ocean_prognostic_equations INTERFACE ocean_boundary_conditions MODULE PROCEDURE ocean_boundary_conditions END INTERFACE ocean_boundary_conditions INTERFACE ocean_swap_timelevel MODULE PROCEDURE ocean_swap_timelevel END INTERFACE ocean_swap_timelevel INTERFACE ocean_rrd_global MODULE PROCEDURE ocean_rrd_global END INTERFACE ocean_rrd_global INTERFACE ocean_rrd_local MODULE PROCEDURE ocean_rrd_local END INTERFACE ocean_rrd_local INTERFACE ocean_wrd_global MODULE PROCEDURE ocean_wrd_global END INTERFACE ocean_wrd_global INTERFACE ocean_wrd_local MODULE PROCEDURE ocean_wrd_local END INTERFACE ocean_wrd_local INTERFACE ocean_3d_data_averaging MODULE PROCEDURE ocean_3d_data_averaging END INTERFACE ocean_3d_data_averaging INTERFACE stokes_drift_terms MODULE PROCEDURE stokes_drift_terms MODULE PROCEDURE stokes_drift_terms_ij END INTERFACE stokes_drift_terms INTERFACE wave_breaking_term MODULE PROCEDURE wave_breaking_term MODULE PROCEDURE wave_breaking_term_ij END INTERFACE wave_breaking_term PRIVATE ! !-- Add INTERFACES that must be available to other modules (alphabetical order) PUBLIC eqn_state_seawater, ocean_actions, ocean_check_data_output, & ocean_check_data_output_pr, ocean_check_parameters, & ocean_data_output_2d, ocean_data_output_3d, & ocean_define_netcdf_grid, ocean_header, ocean_init, & ocean_init_arrays, ocean_parin, ocean_prognostic_equations, & ocean_swap_timelevel, ocean_rrd_global, ocean_rrd_local, & ocean_wrd_global, ocean_wrd_local, ocean_3d_data_averaging, & ocean_boundary_conditions, stokes_drift_terms, wave_breaking_term CONTAINS !------------------------------------------------------------------------------! ! Description: ! ------------ !> Equation of state for seawater as a function of potential temperature, !> salinity, and pressure. !> For coefficients see Jackett et al., 2006: J. Atm. Ocean Tech. !> eqn_state_seawater calculates the potential density referred at hyp(0). !> eqn_state_seawater_func calculates density. !> TODO: so far, routine is not adjusted to use topography !------------------------------------------------------------------------------! SUBROUTINE eqn_state_seawater USE arrays_3d, & ONLY: hyp, prho, pt_p, rho_ocean, sa_p USE indices, & ONLY: nxl, nxr, nyn, nys, nzb, nzt IMPLICIT NONE INTEGER(iwp) :: i !< running index x direction INTEGER(iwp) :: j !< running index y direction INTEGER(iwp) :: k !< running index z direction INTEGER(iwp) :: m !< running index surface elements REAL(wp) :: pden !< temporary scalar user for calculating density REAL(wp) :: pnom !< temporary scalar user for calculating density REAL(wp) :: p1 !< temporary scalar user for calculating density REAL(wp) :: p2 !< temporary scalar user for calculating density REAL(wp) :: p3 !< temporary scalar user for calculating density REAL(wp) :: pt1 !< temporary scalar user for calculating density REAL(wp) :: pt2 !< temporary scalar user for calculating density REAL(wp) :: pt3 !< temporary scalar user for calculating density REAL(wp) :: pt4 !< temporary scalar user for calculating density REAL(wp) :: sa1 !< temporary scalar user for calculating density REAL(wp) :: sa15 !< temporary scalar user for calculating density REAL(wp) :: sa2 !< temporary scalar user for calculating density DO i = nxl, nxr DO j = nys, nyn DO k = nzb+1, nzt ! !-- Pressure is needed in dbar p1 = hyp(k) * 1E-4_wp p2 = p1 * p1 p3 = p2 * p1 ! !-- Temperature needed in degree Celsius pt1 = pt_p(k,j,i) - 273.15_wp pt2 = pt1 * pt1 pt3 = pt1 * pt2 pt4 = pt2 * pt2 sa1 = sa_p(k,j,i) sa15 = sa1 * SQRT( sa1 ) sa2 = sa1 * sa1 pnom = nom(1) + nom(2)*pt1 + nom(3)*pt2 + & nom(4)*pt3 + nom(5)*sa1 + nom(6)*sa1*pt1 + & nom(7)*sa2 pden = den(1) + den(2)*pt1 + den(3)*pt2 + & den(4)*pt3 + den(5)*pt4 + den(6)*sa1 + & den(7)*sa1*pt1 + den(8)*sa1*pt3 + den(9)*sa15 + & den(10)*sa15*pt2 ! !-- Potential density (without pressure terms) prho(k,j,i) = pnom / pden pnom = pnom + nom(8)*p1 + nom(9)*p1*pt2 + & nom(10)*p1*sa1 + nom(11)*p2 + nom(12)*p2*pt2 pden = pden + den(11)*p1 + den(12)*p2*pt3 + & den(13)*p3*pt1 ! !-- In-situ density rho_ocean(k,j,i) = pnom / pden ENDDO ! !-- Neumann conditions are assumed at top boundary and currently also at !-- bottom boundary (see comment lines below) prho(nzt+1,j,i) = prho(nzt,j,i) rho_ocean(nzt+1,j,i) = rho_ocean(nzt,j,i) ENDDO ENDDO ! !-- Neumann conditions at up/downward-facing surfaces !$OMP PARALLEL DO PRIVATE( i, j, k ) DO m = 1, bc_h(0)%ns i = bc_h(0)%i(m) j = bc_h(0)%j(m) k = bc_h(0)%k(m) prho(k-1,j,i) = prho(k,j,i) rho_ocean(k-1,j,i) = rho_ocean(k,j,i) ENDDO ! !-- Downward facing surfaces !$OMP PARALLEL DO PRIVATE( i, j, k ) DO m = 1, bc_h(1)%ns i = bc_h(1)%i(m) j = bc_h(1)%j(m) k = bc_h(1)%k(m) prho(k+1,j,i) = prho(k,j,i) rho_ocean(k+1,j,i) = rho_ocean(k,j,i) ENDDO END SUBROUTINE eqn_state_seawater !------------------------------------------------------------------------------! ! Description: ! ------------ !> Same as above, but for grid point i,j !------------------------------------------------------------------------------! SUBROUTINE eqn_state_seawater_ij( i, j ) USE arrays_3d, & ONLY: hyp, prho, pt_p, rho_ocean, sa_p USE indices, & ONLY: nzb, nzt IMPLICIT NONE INTEGER(iwp) :: i !< running index x direction INTEGER(iwp) :: j !< running index y direction INTEGER(iwp) :: k !< running index z direction INTEGER(iwp) :: m !< running index surface elements INTEGER(iwp) :: surf_e !< end index of surface elements at (j,i)-gridpoint INTEGER(iwp) :: surf_s !< start index of surface elements at (j,i)-gridpoint REAL(wp) :: pden !< temporary scalar user for calculating density REAL(wp) :: pnom !< temporary scalar user for calculating density REAL(wp) :: p1 !< temporary scalar user for calculating density REAL(wp) :: p2 !< temporary scalar user for calculating density REAL(wp) :: p3 !< temporary scalar user for calculating density REAL(wp) :: pt1 !< temporary scalar user for calculating density REAL(wp) :: pt2 !< temporary scalar user for calculating density REAL(wp) :: pt3 !< temporary scalar user for calculating density REAL(wp) :: pt4 !< temporary scalar user for calculating density REAL(wp) :: sa1 !< temporary scalar user for calculating density REAL(wp) :: sa15 !< temporary scalar user for calculating density REAL(wp) :: sa2 !< temporary scalar user for calculating density DO k = nzb+1, nzt ! !-- Pressure is needed in dbar p1 = hyp(k) * 1E-4_wp p2 = p1 * p1 p3 = p2 * p1 ! !-- Temperature needed in degree Celsius pt1 = pt_p(k,j,i) - 273.15_wp pt2 = pt1 * pt1 pt3 = pt1 * pt2 pt4 = pt2 * pt2 sa1 = sa_p(k,j,i) sa15 = sa1 * SQRT( sa1 ) sa2 = sa1 * sa1 pnom = nom(1) + nom(2)*pt1 + nom(3)*pt2 + & nom(4)*pt3 + nom(5)*sa1 + nom(6)*sa1*pt1 + nom(7)*sa2 pden = den(1) + den(2)*pt1 + den(3)*pt2 + & den(4)*pt3 + den(5)*pt4 + den(6)*sa1 + & den(7)*sa1*pt1 + den(8)*sa1*pt3 + den(9)*sa15 + & den(10)*sa15*pt2 ! !-- Potential density (without pressure terms) prho(k,j,i) = pnom / pden pnom = pnom + nom(8)*p1 + nom(9)*p1*pt2 + & nom(10)*p1*sa1 + nom(11)*p2 + nom(12)*p2*pt2 pden = pden + den(11)*p1 + den(12)*p2*pt3 + & den(13)*p3*pt1 ! !-- In-situ density rho_ocean(k,j,i) = pnom / pden ENDDO ! !-- Neumann conditions at up/downward-facing walls surf_s = bc_h(0)%start_index(j,i) surf_e = bc_h(0)%end_index(j,i) DO m = surf_s, surf_e k = bc_h(0)%k(m) prho(k-1,j,i) = prho(k,j,i) rho_ocean(k-1,j,i) = rho_ocean(k,j,i) ENDDO ! !-- Downward facing surfaces surf_s = bc_h(1)%start_index(j,i) surf_e = bc_h(1)%end_index(j,i) DO m = surf_s, surf_e k = bc_h(1)%k(m) prho(k+1,j,i) = prho(k,j,i) rho_ocean(k+1,j,i) = rho_ocean(k,j,i) ENDDO ! !-- Neumann condition are assumed at top boundary prho(nzt+1,j,i) = prho(nzt,j,i) rho_ocean(nzt+1,j,i) = rho_ocean(nzt,j,i) END SUBROUTINE eqn_state_seawater_ij !------------------------------------------------------------------------------! ! Description: ! ------------ !> Equation of state for seawater as a function !------------------------------------------------------------------------------! REAL(wp) FUNCTION eqn_state_seawater_func( p, pt, sa ) IMPLICIT NONE REAL(wp) :: p !< temporary scalar user for calculating density REAL(wp) :: p1 !< temporary scalar user for calculating density REAL(wp) :: p2 !< temporary scalar user for calculating density REAL(wp) :: p3 !< temporary scalar user for calculating density REAL(wp) :: pt !< temporary scalar user for calculating density REAL(wp) :: pt1 !< temporary scalar user for calculating density REAL(wp) :: pt2 !< temporary scalar user for calculating density REAL(wp) :: pt3 !< temporary scalar user for calculating density REAL(wp) :: pt4 !< temporary scalar user for calculating density REAL(wp) :: sa !< temporary scalar user for calculating density REAL(wp) :: sa15 !< temporary scalar user for calculating density REAL(wp) :: sa2 !< temporary scalar user for calculating density ! !-- Pressure is needed in dbar p1 = p * 1.0E-4_wp p2 = p1 * p1 p3 = p2 * p1 ! !-- Temperature needed in degree Celsius pt1 = pt - 273.15_wp pt2 = pt1 * pt1 pt3 = pt1 * pt2 pt4 = pt2 * pt2 sa15 = sa * SQRT( sa ) sa2 = sa * sa eqn_state_seawater_func = & ( nom(1) + nom(2)*pt1 + nom(3)*pt2 + nom(4)*pt3 + & nom(5)*sa + nom(6)*sa*pt1 + nom(7)*sa2 + nom(8)*p1 + & nom(9)*p1*pt2 + nom(10)*p1*sa + nom(11)*p2 + nom(12)*p2*pt2 & ) / & ( den(1) + den(2)*pt1 + den(3)*pt2 + den(4)*pt3 + & den(5)*pt4 + den(6)*sa + den(7)*sa*pt1 + den(8)*sa*pt3 + & den(9)*sa15 + den(10)*sa15*pt2 + den(11)*p1 + den(12)*p2*pt3 + & den(13)*p3*pt1 & ) END FUNCTION eqn_state_seawater_func !------------------------------------------------------------------------------! ! Description: ! ------------ !> Reads the ocean parameters namelist !------------------------------------------------------------------------------! SUBROUTINE ocean_parin IMPLICIT NONE CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file NAMELIST /ocean_parameters/ bc_sa_t, bottom_salinityflux, salinity, & sa_surface, sa_vertical_gradient, sa_vertical_gradient_level, & stokes_waveheight, stokes_wavelength, surface_cooling_spinup_time,& top_salinityflux, wall_salinityflux, wave_breaking ! !-- Try to find the namelist REWIND ( 11 ) line = ' ' DO WHILE ( INDEX( line, '&ocean_parameters' ) == 0 ) READ ( 11, '(A)', END=12 ) line ENDDO BACKSPACE ( 11 ) ! !-- Read namelist READ ( 11, ocean_parameters, ERR = 10 ) ! !-- Set switch that enables PALM's ocean mode ocean_mode = .TRUE. GOTO 12 10 BACKSPACE( 11 ) READ( 11 , '(A)') line CALL parin_fail_message( 'ocean_parameters', line ) 12 CONTINUE END SUBROUTINE ocean_parin !------------------------------------------------------------------------------! ! Description: ! ------------ !> Check parameters routine for the ocean mode !------------------------------------------------------------------------------! SUBROUTINE ocean_check_parameters USE control_parameters, & ONLY: coupling_char, coupling_mode, initializing_actions, & message_string, use_top_fluxes USE pmc_interface, & ONLY: nested_run IMPLICIT NONE ! !-- Check for invalid combinations IF ( nested_run ) THEN message_string = 'ocean mode not allowed for nesting' CALL message( 'ocean_check_parameters', 'PA0510', 1, 2, 0, 6, 0 ) ENDIF IF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN message_string = 'ocean mode does not allow cyclic-fill initialization' CALL message( 'ocean_check_parameters', 'PA0511', 1, 2, 0, 6, 0 ) ENDIF ! !-- Check ocean setting IF ( TRIM( coupling_mode ) == 'uncoupled' .AND. & TRIM( coupling_char ) == '_O' .AND. & .NOT. ocean_mode ) THEN ! !-- Check whether an (uncoupled) atmospheric run has been declared as an !-- ocean run (this setting is done via palmrun-option -y) message_string = 'ocean mode does not allow coupling_char = "' // & TRIM( coupling_char ) // '" set by palmrun-option "-y"' CALL message( 'ocean_check_parameters', 'PA0317', 1, 2, 0, 6, 0 ) ENDIF ! !-- Ocean version must use flux boundary conditions at the top IF ( .NOT. use_top_fluxes ) THEN message_string = 'use_top_fluxes must be .TRUE. in ocean mode' CALL message( 'ocean_check_parameters', 'PA0042', 1, 2, 0, 6, 0 ) ENDIF ! !-- Boundary conditions for salinity IF ( bc_sa_t == 'dirichlet' ) THEN ibc_sa_t = 0 ELSEIF ( bc_sa_t == 'neumann' ) THEN ibc_sa_t = 1 ELSE message_string = 'unknown boundary condition: bc_sa_t = "' // & TRIM( bc_sa_t ) // '"' CALL message( 'ocean_check_parameters', 'PA0068', 1, 2, 0, 6, 0 ) ENDIF IF ( top_salinityflux == 9999999.9_wp ) constant_top_salinityflux = .FALSE. IF ( .NOT. salinity ) THEN IF ( ( bottom_salinityflux /= 0.0_wp .AND. & bottom_salinityflux /= 9999999.9_wp ) .OR. & ( top_salinityflux /= 0.0_wp .AND. & top_salinityflux /= 9999999.9_wp ) ) & THEN message_string = 'salinityflux must not be set for ocean run ' // & 'without salinity' CALL message( 'ocean_check_parameters', 'PA0509', 1, 2, 0, 6, 0 ) ENDIF ENDIF IF ( ibc_sa_t == 1 .AND. top_salinityflux == 9999999.9_wp ) THEN message_string = 'boundary condition: bc_sa_t = "' // & TRIM( bc_sa_t ) // '" requires to set top_salinityflux' CALL message( 'ocean_check_parameters', 'PA0069', 1, 2, 0, 6, 0 ) ENDIF ! !-- A fixed salinity at the top implies Dirichlet boundary condition for !-- salinity. In this case specification of a constant salinity flux is !-- forbidden. IF ( ibc_sa_t == 0 .AND. constant_top_salinityflux .AND. & top_salinityflux /= 0.0_wp ) THEN message_string = 'boundary condition: bc_sa_t = "' // & TRIM( bc_sa_t ) // '" is not allowed with ' // & 'top_salinityflux /= 0.0' CALL message( 'ocean_check_parameters', 'PA0070', 1, 2, 0, 6, 0 ) ENDIF ! !-- Check if Stokes force is to be used IF ( stokes_waveheight /= 0.0_wp .AND. stokes_wavelength /= 0.0_wp ) THEN stokes_force = .TRUE. ELSE IF ( ( stokes_waveheight <= 0.0_wp .AND. stokes_wavelength > 0.0_wp ) & .OR. & ( stokes_waveheight > 0.0_wp .AND. stokes_wavelength <= 0.0_wp ) & .OR. & ( stokes_waveheight < 0.0_wp .AND. stokes_wavelength < 0.0_wp ) ) & THEN message_string = 'wrong settings for stokes_wavelength and/or ' // & 'stokes_waveheight' CALL message( 'ocean_check_parameters', 'PA0460', 1, 2, 0, 6, 0 ) ENDIF ENDIF END SUBROUTINE ocean_check_parameters !------------------------------------------------------------------------------! ! Description: ! ------------ !> Check data output. !------------------------------------------------------------------------------! SUBROUTINE ocean_check_data_output( var, unit ) IMPLICIT NONE CHARACTER (LEN=*) :: unit !< unit of output variable CHARACTER (LEN=*) :: var !< name of output variable SELECT CASE ( TRIM( var ) ) CASE ( 'rho_sea_water' ) unit = 'kg/m3' CASE ( 'sa' ) unit = 'psu' CASE DEFAULT unit = 'illegal' END SELECT END SUBROUTINE ocean_check_data_output !------------------------------------------------------------------------------! ! Description: ! ------------ !> Check data output of profiles !------------------------------------------------------------------------------! SUBROUTINE ocean_check_data_output_pr( variable, var_count, unit, dopr_unit ) USE arrays_3d, & ONLY: zu, zw USE control_parameters, & ONLY: data_output_pr USE indices USE profil_parameter USE statistics IMPLICIT NONE CHARACTER (LEN=*) :: unit !< CHARACTER (LEN=*) :: variable !< CHARACTER (LEN=*) :: dopr_unit !< local value of dopr_unit INTEGER(iwp) :: var_count !< SELECT CASE ( TRIM( variable ) ) CASE ( 'prho' ) dopr_index(var_count) = 71 dopr_unit = 'kg/m3' hom(:,2,71,:) = SPREAD( zu, 2, statistic_regions+1 ) unit = dopr_unit CASE ( 'rho_sea_water' ) dopr_index(var_count) = 64 dopr_unit = 'kg/m3' hom(:,2,64,:) = SPREAD( zu, 2, statistic_regions+1 ) IF ( data_output_pr(var_count)(1:1) == '#' ) THEN dopr_initial_index(var_count) = 77 hom(:,2,77,:) = SPREAD( zu, 2, statistic_regions+1 ) hom(nzb,2,77,:) = 0.0_wp ! because zu(nzb) is negative data_output_pr(var_count) = data_output_pr(var_count)(2:) ENDIF unit = dopr_unit CASE ( 'sa', '#sa' ) dopr_index(var_count) = 23 dopr_unit = 'psu' hom(:,2,23,:) = SPREAD( zu, 2, statistic_regions+1 ) IF ( data_output_pr(var_count)(1:1) == '#' ) THEN dopr_initial_index(var_count) = 26 hom(:,2,26,:) = SPREAD( zu, 2, statistic_regions+1 ) hom(nzb,2,26,:) = 0.0_wp ! because zu(nzb) is negative data_output_pr(var_count) = data_output_pr(var_count)(2:) ENDIF unit = dopr_unit CASE ( 'w"sa"' ) dopr_index(var_count) = 65 dopr_unit = 'psu m/s' hom(:,2,65,:) = SPREAD( zw, 2, statistic_regions+1 ) unit = dopr_unit CASE ( 'w*sa*' ) dopr_index(var_count) = 66 dopr_unit = 'psu m/s' hom(:,2,66,:) = SPREAD( zw, 2, statistic_regions+1 ) unit = dopr_unit CASE ( 'wsa' ) dopr_index(var_count) = 67 dopr_unit = 'psu m/s' hom(:,2,67,:) = SPREAD( zw, 2, statistic_regions+1 ) unit = dopr_unit CASE DEFAULT unit = 'illegal' END SELECT END SUBROUTINE ocean_check_data_output_pr !------------------------------------------------------------------------------! ! Description: ! ------------ !> Define appropriate grid for netcdf variables. !> It is called out from subroutine netcdf. !------------------------------------------------------------------------------! SUBROUTINE ocean_define_netcdf_grid( var, found, grid_x, grid_y, grid_z ) IMPLICIT NONE CHARACTER (LEN=*), INTENT(OUT) :: grid_x !< x grid of output variable CHARACTER (LEN=*), INTENT(OUT) :: grid_y !< y grid of output variable CHARACTER (LEN=*), INTENT(OUT) :: grid_z !< z grid of output variable CHARACTER (LEN=*), INTENT(IN) :: var !< name of output variable LOGICAL, INTENT(OUT) :: found !< flag if output variable is found found = .TRUE. ! !-- Check for the grid SELECT CASE ( TRIM( var ) ) CASE ( 'rho_sea_water', 'rho_sea_water_xy', 'rho_sea_water_xz', & 'rho_sea_water_yz', 'sa', 'sa_xy', 'sa_xz', 'sa_yz' ) grid_x = 'x' grid_y = 'y' grid_z = 'zu' CASE DEFAULT found = .FALSE. grid_x = 'none' grid_y = 'none' grid_z = 'none' END SELECT END SUBROUTINE ocean_define_netcdf_grid !------------------------------------------------------------------------------! ! Description: ! ------------ !> Average 3D data. !------------------------------------------------------------------------------! SUBROUTINE ocean_3d_data_averaging( mode, variable ) USE arrays_3d, & ONLY: rho_ocean, sa USE averaging, & ONLY: rho_ocean_av, sa_av USE control_parameters, & ONLY: average_count_3d USE indices, & ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt IMPLICIT NONE CHARACTER (LEN=*) :: mode !< flag defining mode 'allocate', 'sum' or 'average' CHARACTER (LEN=*) :: variable !< name of variable INTEGER(iwp) :: i !< loop index INTEGER(iwp) :: j !< loop index INTEGER(iwp) :: k !< loop index IF ( mode == 'allocate' ) THEN SELECT CASE ( TRIM( variable ) ) CASE ( 'rho_sea_water' ) IF ( .NOT. ALLOCATED( rho_ocean_av ) ) THEN ALLOCATE( rho_ocean_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) ENDIF rho_ocean_av = 0.0_wp CASE ( 'sa' ) IF ( .NOT. ALLOCATED( sa_av ) ) THEN ALLOCATE( sa_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) ENDIF sa_av = 0.0_wp CASE DEFAULT CONTINUE END SELECT ELSEIF ( mode == 'sum' ) THEN SELECT CASE ( TRIM( variable ) ) CASE ( 'rho_sea_water' ) IF ( ALLOCATED( rho_ocean_av ) ) THEN DO i = nxlg, nxrg DO j = nysg, nyng DO k = nzb, nzt+1 rho_ocean_av(k,j,i) = rho_ocean_av(k,j,i) + & rho_ocean(k,j,i) ENDDO ENDDO ENDDO ENDIF CASE ( 'sa' ) IF ( ALLOCATED( sa_av ) ) THEN DO i = nxlg, nxrg DO j = nysg, nyng DO k = nzb, nzt+1 sa_av(k,j,i) = sa_av(k,j,i) + sa(k,j,i) ENDDO ENDDO ENDDO ENDIF CASE DEFAULT CONTINUE END SELECT ELSEIF ( mode == 'average' ) THEN SELECT CASE ( TRIM( variable ) ) CASE ( 'rho_sea_water' ) IF ( ALLOCATED( rho_ocean_av ) ) THEN DO i = nxlg, nxrg DO j = nysg, nyng DO k = nzb, nzt+1 rho_ocean_av(k,j,i) = rho_ocean_av(k,j,i) / & REAL( average_count_3d, KIND=wp ) ENDDO ENDDO ENDDO ENDIF CASE ( 'sa' ) IF ( ALLOCATED( sa_av ) ) THEN DO i = nxlg, nxrg DO j = nysg, nyng DO k = nzb, nzt+1 sa_av(k,j,i) = sa_av(k,j,i) / & REAL( average_count_3d, KIND=wp ) ENDDO ENDDO ENDDO ENDIF END SELECT ENDIF END SUBROUTINE ocean_3d_data_averaging !------------------------------------------------------------------------------! ! Description: ! ------------ !> Define 2D output variables. !------------------------------------------------------------------------------! SUBROUTINE ocean_data_output_2d( av, variable, found, grid, mode, local_pf, & nzb_do, nzt_do ) USE arrays_3d, & ONLY: rho_ocean, sa USE averaging, & ONLY: rho_ocean_av, sa_av USE indices, & ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzt, & wall_flags_static_0 IMPLICIT NONE CHARACTER (LEN=*) :: grid !< name of vertical grid CHARACTER (LEN=*) :: mode !< either 'xy', 'xz' or 'yz' CHARACTER (LEN=*) :: variable !< name of variable INTEGER(iwp) :: av !< flag for (non-)average output INTEGER(iwp) :: flag_nr !< number of masking flag INTEGER(iwp) :: i !< loop index INTEGER(iwp) :: j !< loop index INTEGER(iwp) :: k !< loop index INTEGER(iwp) :: nzb_do !< vertical output index (bottom) INTEGER(iwp) :: nzt_do !< vertical output index (top) LOGICAL :: found !< flag if output variable is found LOGICAL :: resorted !< flag if output is already resorted REAL(wp) :: fill_value = -999.0_wp !< value for the _FillValue attribute REAL(wp), DIMENSION(nxl:nxr,nys:nyn,nzb_do:nzt_do) :: local_pf !< local !< array to which output data is resorted to REAL(wp), DIMENSION(:,:,:), POINTER :: to_be_resorted !< points to selected output variable found = .TRUE. resorted = .FALSE. ! !-- Set masking flag for topography for not resorted arrays flag_nr = 0 SELECT CASE ( TRIM( variable ) ) CASE ( 'rho_sea_water_xy', 'rho_sea_water_xz', 'rho_sea_water_yz' ) IF ( av == 0 ) THEN to_be_resorted => rho_ocean ELSE IF ( .NOT. ALLOCATED( rho_ocean_av ) ) THEN ALLOCATE( rho_ocean_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) rho_ocean_av = REAL( fill_value, KIND = wp ) ENDIF to_be_resorted => rho_ocean_av ENDIF CASE ( 'sa_xy', 'sa_xz', 'sa_yz' ) IF ( av == 0 ) THEN to_be_resorted => sa ELSE IF ( .NOT. ALLOCATED( sa_av ) ) THEN ALLOCATE( sa_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) sa_av = REAL( fill_value, KIND = wp ) ENDIF to_be_resorted => sa_av ENDIF IF ( mode == 'xy' ) grid = 'zu' CASE DEFAULT found = .FALSE. grid = 'none' END SELECT IF ( found .AND. .NOT. resorted ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_do, nzt_do local_pf(i,j,k) = MERGE( to_be_resorted(k,j,i), & REAL( fill_value, KIND = wp ), & BTEST( wall_flags_static_0(k,j,i), flag_nr ) ) ENDDO ENDDO ENDDO resorted = .TRUE. ENDIF END SUBROUTINE ocean_data_output_2d !------------------------------------------------------------------------------! ! Description: ! ------------ !> Define 3D output variables. !------------------------------------------------------------------------------! SUBROUTINE ocean_data_output_3d( av, variable, found, local_pf, nzb_do, nzt_do ) USE arrays_3d, & ONLY: rho_ocean, sa USE averaging, & ONLY: rho_ocean_av, sa_av USE indices, & ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzt, & wall_flags_static_0 IMPLICIT NONE CHARACTER (LEN=*) :: variable !< name of variable INTEGER(iwp) :: av !< flag for (non-)average output INTEGER(iwp) :: flag_nr !< number of masking flag INTEGER(iwp) :: i !< loop index INTEGER(iwp) :: j !< loop index INTEGER(iwp) :: k !< loop index INTEGER(iwp) :: nzb_do !< lower limit of the data output (usually 0) INTEGER(iwp) :: nzt_do !< vertical upper limit of the data output (usually nz_do3d) LOGICAL :: found !< flag if output variable is found LOGICAL :: resorted !< flag if output is already resorted REAL(wp) :: fill_value = -999.0_wp !< value for the _FillValue attribute REAL(sp), DIMENSION(nxl:nxr,nys:nyn,nzb_do:nzt_do) :: local_pf !< local !< array to which output data is resorted to REAL(wp), DIMENSION(:,:,:), POINTER :: to_be_resorted !< points to selected output variable found = .TRUE. resorted = .FALSE. ! !-- Set masking flag for topography for not resorted arrays flag_nr = 0 SELECT CASE ( TRIM( variable ) ) CASE ( 'rho_sea_water' ) IF ( av == 0 ) THEN to_be_resorted => rho_ocean ELSE IF ( .NOT. ALLOCATED( rho_ocean_av ) ) THEN ALLOCATE( rho_ocean_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) rho_ocean_av = REAL( fill_value, KIND = wp ) ENDIF to_be_resorted => rho_ocean_av ENDIF CASE ( 'sa' ) IF ( av == 0 ) THEN to_be_resorted => sa ELSE IF ( .NOT. ALLOCATED( sa_av ) ) THEN ALLOCATE( sa_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) sa_av = REAL( fill_value, KIND = wp ) ENDIF to_be_resorted => sa_av ENDIF CASE DEFAULT found = .FALSE. END SELECT IF ( found .AND. .NOT. resorted ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_do, nzt_do local_pf(i,j,k) = MERGE( to_be_resorted(k,j,i), & REAL( fill_value, KIND = wp ), & BTEST( wall_flags_static_0(k,j,i), flag_nr ) ) ENDDO ENDDO ENDDO resorted = .TRUE. ENDIF END SUBROUTINE ocean_data_output_3d !------------------------------------------------------------------------------! ! Description: ! ------------ !> Header output for ocean parameters !------------------------------------------------------------------------------! SUBROUTINE ocean_header( io ) IMPLICIT NONE INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file ! !-- Write ocean header WRITE( io, 1 ) IF ( stokes_force ) WRITE( io, 2 ) stokes_waveheight, stokes_wavelength IF ( wave_breaking ) THEN WRITE( io, 3 ) alpha_wave_breaking, timescale_wave_breaking ENDIF IF ( .NOT. salinity ) WRITE( io, 4 ) IF ( surface_cooling_spinup_time /= 999999.9_wp ) THEN WRITE( io, 5 ) surface_cooling_spinup_time ENDIF 1 FORMAT (//' Ocean settings:'/ & ' ------------------------------------------'/) 2 FORMAT (' --> Craik-Leibovich vortex force and Stokes drift switched', & ' on'/ & ' waveheight: ',F4.1,' m wavelength: ',F6.1,' m') 3 FORMAT (' --> wave breaking generated turbulence switched on'/ & ' alpha: ',F4.1/ & ' timescale:',F5.1,' s') 4 FORMAT (' --> prognostic salinity equation is switched off' ) 5 FORMAT (' --> surface heat flux is switched off after ',F8.1,' s') END SUBROUTINE ocean_header !------------------------------------------------------------------------------! ! Description: ! ------------ !> Allocate arrays and assign pointers. !------------------------------------------------------------------------------! SUBROUTINE ocean_init_arrays USE indices, & ONLY: nxlg, nxrg, nyn, nyng, nys, nysg, nzb, nzt IMPLICIT NONE ALLOCATE( prho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), & rho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), & sa_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), & sa_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) IF ( salinity ) THEN ALLOCATE( sa_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) ENDIF IF ( ws_scheme_sca ) THEN ALLOCATE( sums_wssas_ws_l(nzb:nzt+1,0:threads_per_task-1) ) sums_wssas_ws_l = 0.0_wp ENDIF IF ( loop_optimization /= 'vector' ) THEN IF ( ws_scheme_sca ) THEN ALLOCATE( flux_s_sa(nzb+1:nzt,0:threads_per_task-1) ) ALLOCATE( diss_s_sa(nzb+1:nzt,0:threads_per_task-1) ) ALLOCATE( flux_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) ALLOCATE( diss_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) ENDIF ENDIF prho => prho_1 rho_ocean => rho_1 ! routines calc_mean_profile and diffusion_e require ! density to be a pointer ! !-- Initial assignment of pointers IF ( salinity ) THEN sa => sa_1; sa_p => sa_2; tsa_m => sa_3 ELSE sa => sa_1; sa_p => sa_1; tsa_m => sa_3 ENDIF END SUBROUTINE ocean_init_arrays !------------------------------------------------------------------------------! ! Description: ! ------------ !> Initialization of quantities needed for the ocean mode !------------------------------------------------------------------------------! SUBROUTINE ocean_init USE arrays_3d, & ONLY: dzu, dzw, hyp, pt_init, ref_state, u_stokes_zu, u_stokes_zw, & v_stokes_zu, v_stokes_zw, zu, zw USE basic_constants_and_equations_mod, & ONLY: g USE basic_constants_and_equations_mod, & ONLY: pi USE control_parameters, & ONLY: initializing_actions, molecular_viscosity, rho_surface, & rho_reference, surface_pressure, top_momentumflux_u, & top_momentumflux_v, use_single_reference_value USE indices, & ONLY: nxl, nxlg, nxrg, nyng, nys, nysg, nzb, nzt USE kinds USE pegrid, & ONLY: myid USE statistics, & ONLY: hom, statistic_regions IMPLICIT NONE INTEGER(iwp) :: i !< loop index INTEGER(iwp) :: j !< loop index INTEGER(iwp) :: k !< loop index INTEGER(iwp) :: n !< loop index REAL(wp) :: alpha !< angle of surface stress REAL(wp) :: dum !< dummy argument REAL(wp) :: pt_l !< local scalar for pt used in equation of state function REAL(wp) :: sa_l !< local scalar for sa used in equation of state function REAL(wp) :: velocity_amplitude !< local scalar for amplitude of Stokes drift velocity REAL(wp) :: x !< temporary variable to store surface stress along x REAL(wp) :: y !< temporary variable to store surface stress along y REAL(wp), DIMENSION(nzb:nzt+1) :: rho_ocean_init !< local array for initial density ALLOCATE( hyp(nzb:nzt+1) ) ! !-- In case of no restart run, calculate the inital salinity profilevcusing the !-- given salinity gradients IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN sa_init = sa_surface ! !-- Last arguments gives back the gradient at top level to be used as !-- possible Neumann boundary condition. This is not realized for the ocean !-- mode, therefore a dummy argument is used. IF ( salinity ) THEN CALL init_vertical_profiles( sa_vertical_gradient_level_ind, & sa_vertical_gradient_level, & sa_vertical_gradient, sa_init, & sa_surface, dum ) ENDIF ENDIF ! !-- Initialize required 3d-arrays IF ( TRIM( initializing_actions ) /= 'read_restart_data' .AND. & TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN ! !-- Initialization via computed 1D-model profiles IF ( INDEX( initializing_actions, 'set_constant_profiles' ) /= 0 ) THEN DO i = nxlg, nxrg DO j = nysg, nyng sa(:,j,i) = sa_init ENDDO ENDDO ENDIF ! !-- Store initial profiles for output purposes etc. !-- Store initial salinity profile hom(:,1,26,:) = SPREAD( sa(:,nys,nxl), 2, statistic_regions+1 ) ! !-- Initialize old and new time levels. tsa_m = 0.0_wp sa_p = sa ELSEIF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN ! !-- Initialize new time levels (only done in order to set boundary values !-- including ghost points) sa_p = sa ! !-- Allthough tendency arrays are set in prognostic_equations, they have !-- have to be predefined here because they are used (but multiplied with 0) !-- there before they are set. tsa_m = 0.0_wp ENDIF ! !-- Set water density near the ocean surface rho_surface = 1027.62_wp ! !-- Set kinematic viscosity to sea water at 20C. !-- This changes the default value that is given for air! molecular_viscosity = 1.05E-6_wp ! !-- Change sign of buoyancy/stability terms because density gradient is used !-- instead of the potential temperature gradient to calculate the buoyancy atmos_ocean_sign = -1.0_wp ! !-- Calculate initial vertical profile of hydrostatic pressure (in Pa) !-- and the reference density (used later in buoyancy term) !-- First step: Calculate pressure using reference density hyp(nzt+1) = surface_pressure * 100.0_wp hyp(nzt) = hyp(nzt+1) + rho_surface * g * 0.5_wp * dzu(nzt+1) rho_ocean_init(nzt) = rho_surface rho_ocean_init(nzt+1) = rho_surface ! only required for output DO k = nzt-1, 1, -1 hyp(k) = hyp(k+1) + rho_surface * g * dzu(k) ENDDO hyp(0) = hyp(1) + rho_surface * g * dzu(1) ! !-- Second step: Iteratively calculate in situ density (based on presssure) !-- and pressure (based on in situ density) DO n = 1, 5 rho_reference = rho_surface * 0.5_wp * dzu(nzt+1) DO k = nzt, 0, -1 sa_l = 0.5_wp * ( sa_init(k) + sa_init(k+1) ) pt_l = 0.5_wp * ( pt_init(k) + pt_init(k+1) ) rho_ocean_init(k) = eqn_state_seawater_func( hyp(k), pt_l, sa_l ) rho_reference = rho_reference + rho_ocean_init(k) * dzu(k+1) ENDDO rho_reference = rho_reference / ( zw(nzt) - zu(nzb) ) hyp(nzt) = hyp(nzt+1) + rho_surface * g * 0.5_wp * dzu(nzt+1) DO k = nzt-1, 0, -1 hyp(k) = hyp(k+1) + g * 0.5_wp * ( rho_ocean_init(k) & + rho_ocean_init(k+1) ) * dzu(k+1) ENDDO ENDDO ! !-- Calculate the reference potential density prho_reference = 0.0_wp DO k = 0, nzt sa_l = 0.5_wp * ( sa_init(k) + sa_init(k+1) ) pt_l = 0.5_wp * ( pt_init(k) + pt_init(k+1) ) prho_reference = prho_reference + dzu(k+1) * & eqn_state_seawater_func( 0.0_wp, pt_l, sa_l ) ENDDO prho_reference = prho_reference / ( zu(nzt) - zu(nzb) ) ! !-- Calculate the 3d array of initial in situ and potential density, !-- based on the initial temperature and salinity profile CALL eqn_state_seawater ! !-- Store initial density profile hom(:,1,77,:) = SPREAD( rho_ocean_init(:), 2, statistic_regions+1 ) ! !-- Set the reference state to be used in the buoyancy terms IF ( use_single_reference_value ) THEN ref_state(:) = rho_reference ELSE ref_state(:) = rho_ocean_init(:) ENDIF ! !-- Calculate the Stokes drift velocity profile IF ( stokes_force ) THEN ! !-- First, calculate angle of surface stress x = -top_momentumflux_u y = -top_momentumflux_v IF ( x == 0.0_wp ) THEN IF ( y > 0.0_wp ) THEN alpha = pi / 2.0_wp ELSEIF ( y < 0.0_wp ) THEN alpha = 3.0_wp * pi / 2.0_wp ENDIF ELSE IF ( x < 0.0_wp ) THEN alpha = ATAN( y / x ) + pi ELSE IF ( y < 0.0_wp ) THEN alpha = ATAN( y / x ) + 2.0_wp * pi ELSE alpha = ATAN( y / x ) ENDIF ENDIF ENDIF velocity_amplitude = ( pi * stokes_waveheight / stokes_wavelength )**2 *& SQRT( g * stokes_wavelength / ( 2.0_wp * pi ) ) DO k = nzb, nzt u_stokes_zu(k) = velocity_amplitude * COS( alpha ) * & EXP( 4.0_wp * pi * zu(k) / stokes_wavelength ) u_stokes_zw(k) = velocity_amplitude * COS( alpha ) * & EXP( 4.0_wp * pi * zw(k) / stokes_wavelength ) v_stokes_zu(k) = velocity_amplitude * SIN( alpha ) * & EXP( 4.0_wp * pi * zu(k) / stokes_wavelength ) v_stokes_zw(k) = velocity_amplitude * SIN( alpha ) * & EXP( 4.0_wp * pi * zw(k) / stokes_wavelength ) ENDDO u_stokes_zu(nzt+1) = u_stokes_zw(nzt) ! because zu(nzt+1) changes the sign u_stokes_zw(nzt+1) = u_stokes_zw(nzt) ! because zw(nzt+1) changes the sign v_stokes_zu(nzt+1) = v_stokes_zw(nzt) ! because zu(nzt+1) changes the sign v_stokes_zw(nzt+1) = v_stokes_zw(nzt) ! because zw(nzt+1) changes the sign ENDIF ! !-- Wave breaking effects IF ( wave_breaking ) THEN ! !-- Calculate friction velocity at ocean surface u_star_wave_breaking = SQRT( SQRT( top_momentumflux_u**2 + & top_momentumflux_v**2 ) ) ! !-- Set the time scale of random forcing. The vertical grid spacing at the !-- ocean surface is assumed as the length scale of turbulence. !-- Formula follows Noh et al. (2004), JPO timescale_wave_breaking = 0.1_wp * dzw(nzt) / alpha_wave_breaking / & u_star_wave_breaking ! !-- Set random number seeds differently on the processor cores in order to !-- create different random number sequences iran_ocean = iran_ocean + myid ENDIF END SUBROUTINE ocean_init !------------------------------------------------------------------------------! ! Description: ! ------------ !> Call for all grid points !------------------------------------------------------------------------------! SUBROUTINE ocean_actions( location ) CHARACTER (LEN=*), INTENT(IN) :: location !< call location string SELECT CASE ( location ) CASE ( 'before_timestep' ) IF ( ws_scheme_sca ) THEN sums_wssas_ws_l = 0.0_wp ENDIF CASE DEFAULT CONTINUE END SELECT END SUBROUTINE ocean_actions !------------------------------------------------------------------------------! ! Description: ! ------------ !> Call for grid points i,j !------------------------------------------------------------------------------! SUBROUTINE ocean_actions_ij( i, j, location ) INTEGER(iwp), INTENT(IN) :: i !< grid index in x-direction INTEGER(iwp), INTENT(IN) :: j !< grid index in y-direction CHARACTER (LEN=*), INTENT(IN) :: location !< call location string INTEGER(iwp) :: dummy !< call location string IF ( ocean_mode ) dummy = i + j SELECT CASE ( location ) CASE ( 'before_timestep' ) IF ( ws_scheme_sca ) THEN sums_wssas_ws_l = 0.0_wp ENDIF CASE DEFAULT CONTINUE END SELECT END SUBROUTINE ocean_actions_ij !------------------------------------------------------------------------------! ! Description: ! ------------ !> Prognostic equation for salinity. !> Vector-optimized version !------------------------------------------------------------------------------! SUBROUTINE ocean_prognostic_equations USE advec_s_bc_mod, & ONLY: advec_s_bc USE advec_s_pw_mod, & ONLY: advec_s_pw USE advec_s_up_mod, & ONLY: advec_s_up USE advec_ws, & ONLY: advec_s_ws USE arrays_3d, & ONLY: rdf_sc, tend, tsa_m USE control_parameters, & ONLY: bc_dirichlet_l, & bc_dirichlet_n, & bc_dirichlet_r, & bc_dirichlet_s, & bc_radiation_l, & bc_radiation_n, & bc_radiation_r, & bc_radiation_s, & dt_3d, intermediate_timestep_count, & intermediate_timestep_count_max, scalar_advec, simulated_time, & timestep_scheme, tsc, ws_scheme_sca USE cpulog, & ONLY: cpu_log, log_point_s USE diffusion_s_mod, & ONLY: diffusion_s IMPLICIT NONE INTEGER(iwp) :: i !< loop index INTEGER(iwp) :: j !< loop index INTEGER(iwp) :: k !< loop index REAL(wp) :: sbt !< weighting factor for sub-time step ! !-- Switch of the surface heat flux, if requested IF ( surface_cooling_spinup_time /= 999999.9_wp ) THEN IF ( .NOT. surface_cooling_switched_off .AND. & simulated_time >= surface_cooling_spinup_time ) THEN surf_def_h(2)%shf = 0.0_wp surface_cooling_switched_off = .TRUE. ENDIF ENDIF ! !-- Compute prognostic equations for the ocean mode !-- First, start with salinity IF ( salinity ) THEN CALL cpu_log( log_point_s(20), 'sa-equation', 'start' ) ! !-- sa-tendency terms with communication sbt = tsc(2) IF ( scalar_advec == 'bc-scheme' ) THEN IF ( timestep_scheme(1:5) /= 'runge' ) THEN ! !-- Bott-Chlond scheme always uses Euler time step. Thus: sbt = 1.0_wp ENDIF tend = 0.0_wp CALL advec_s_bc( sa, 'sa' ) ENDIF ! !-- sa-tendency terms with no communication IF ( scalar_advec /= 'bc-scheme' ) THEN tend = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( advc_flags_s, sa, 'sa', & bc_dirichlet_l .OR. bc_radiation_l, & bc_dirichlet_n .OR. bc_radiation_n, & bc_dirichlet_r .OR. bc_radiation_r, & bc_dirichlet_s .OR. bc_radiation_s ) ELSE CALL advec_s_pw( sa ) ENDIF ELSE CALL advec_s_up( sa ) ENDIF ENDIF CALL diffusion_s( sa, & surf_def_h(0)%sasws, surf_def_h(1)%sasws, & surf_def_h(2)%sasws, & surf_lsm_h%sasws, surf_usm_h%sasws, & surf_def_v(0)%sasws, surf_def_v(1)%sasws, & surf_def_v(2)%sasws, surf_def_v(3)%sasws, & surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, & surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, & surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, & surf_usm_v(2)%sasws, surf_usm_v(3)%sasws ) ! CALL user_actions( 'sa-tendency' ) ToDo: find general solution for dependency between modules ! !-- Prognostic equation for salinity DO i = nxl, nxr DO j = nys, nyn DO k = nzb+1, nzt sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + & tsc(3) * tsa_m(k,j,i) ) & - tsc(5) * rdf_sc(k) * & ( sa(k,j,i) - sa_init(k) ) & ) & * MERGE( 1.0_wp, 0.0_wp, & BTEST( wall_flags_static_0(k,j,i), 0 ) & ) IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i) ENDDO ENDDO ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb+1, nzt tsa_m(k,j,i) = tend(k,j,i) ENDDO ENDDO ENDDO ELSEIF ( intermediate_timestep_count < intermediate_timestep_count_max ) & THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb+1, nzt tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + & 5.3125_wp * tsa_m(k,j,i) ENDDO ENDDO ENDDO ENDIF ENDIF CALL cpu_log( log_point_s(20), 'sa-equation', 'stop' ) ENDIF ! !-- Calculate density by the equation of state for seawater CALL cpu_log( log_point_s(21), 'eqns-seawater', 'start' ) CALL eqn_state_seawater CALL cpu_log( log_point_s(21), 'eqns-seawater', 'stop' ) END SUBROUTINE ocean_prognostic_equations !------------------------------------------------------------------------------! ! Description: ! ------------ !> Prognostic equations for ocean mode (so far, salinity only) !> Cache-optimized version !------------------------------------------------------------------------------! SUBROUTINE ocean_prognostic_equations_ij( i, j, i_omp_start, tn ) USE advec_s_pw_mod, & ONLY: advec_s_pw USE advec_s_up_mod, & ONLY: advec_s_up USE advec_ws, & ONLY: advec_s_ws USE arrays_3d, & ONLY: diss_l_sa, diss_s_sa, flux_l_sa, flux_s_sa, rdf_sc, tend, tsa_m USE control_parameters, & ONLY: bc_dirichlet_l, & bc_dirichlet_n, & bc_dirichlet_r, & bc_dirichlet_s, & bc_radiation_l, & bc_radiation_n, & bc_radiation_r, & bc_radiation_s, & dt_3d, intermediate_timestep_count, & intermediate_timestep_count_max, simulated_time, & timestep_scheme, tsc, ws_scheme_sca USE diffusion_s_mod, & ONLY: diffusion_s IMPLICIT NONE INTEGER(iwp) :: i !< loop index x direction INTEGER(iwp) :: i_omp_start !< first loop index of i-loop in calling & !< routine prognostic_equations INTEGER(iwp) :: j !< loop index y direction INTEGER(iwp) :: k !< loop index z direction INTEGER(iwp) :: tn !< task number of openmp task ! !-- Switch of the surface heat flux, if requested IF ( surface_cooling_spinup_time /= 999999.9_wp ) THEN IF ( .NOT. surface_cooling_switched_off .AND. & simulated_time >= surface_cooling_spinup_time ) THEN surf_def_h(2)%shf = 0.0_wp surface_cooling_switched_off = .TRUE. ENDIF ENDIF ! !-- Compute prognostic equations for the ocean mode !-- First, start with tendency-terms for salinity IF ( salinity ) THEN tend(:,j,i) = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) & THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( advc_flags_s, & i, j, sa, 'sa', flux_s_sa, diss_s_sa, flux_l_sa,& diss_l_sa, i_omp_start, tn, & bc_dirichlet_l .OR. bc_radiation_l, & bc_dirichlet_n .OR. bc_radiation_n, & bc_dirichlet_r .OR. bc_radiation_r, & bc_dirichlet_s .OR. bc_radiation_s ) ELSE CALL advec_s_pw( i, j, sa ) ENDIF ELSE CALL advec_s_up( i, j, sa ) ENDIF CALL diffusion_s( i, j, sa, & surf_def_h(0)%sasws, surf_def_h(1)%sasws, & surf_def_h(2)%sasws, & surf_lsm_h%sasws, surf_usm_h%sasws, & surf_def_v(0)%sasws, surf_def_v(1)%sasws, & surf_def_v(2)%sasws, surf_def_v(3)%sasws, & surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, & surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, & surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, & surf_usm_v(2)%sasws, surf_usm_v(3)%sasws ) ! CALL user_actions( i, j, 'sa-tendency' ) ToDo: find general solution for dependency between modules ! !-- Prognostic equation for salinity DO k = nzb+1, nzt sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * & ( tsc(2) * tend(k,j,i) + & tsc(3) * tsa_m(k,j,i) ) & - tsc(5) * rdf_sc(k) & * ( sa(k,j,i) - sa_init(k) ) & ) * MERGE( 1.0_wp, 0.0_wp, & BTEST( wall_flags_static_0(k,j,i), 0 ) ) IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i) ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO k = nzb+1, nzt tsa_m(k,j,i) = tend(k,j,i) ENDDO ELSEIF ( intermediate_timestep_count < intermediate_timestep_count_max ) & THEN DO k = nzb+1, nzt tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + & 5.3125_wp * tsa_m(k,j,i) ENDDO ENDIF ENDIF ENDIF ! !-- Calculate density by the equation of state for seawater CALL eqn_state_seawater( i, j ) END SUBROUTINE ocean_prognostic_equations_ij !------------------------------------------------------------------------------! ! Description: ! ------------ !> Boundary conditions for ocean model !------------------------------------------------------------------------------! SUBROUTINE ocean_boundary_conditions IMPLICIT NONE INTEGER(iwp) :: i !< grid index x direction. INTEGER(iwp) :: j !< grid index y direction. INTEGER(iwp) :: k !< grid index z direction. INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls. INTEGER(iwp) :: m !< running index surface elements. ! !-- Boundary conditions for salinity !-- Bottom boundary: Neumann condition because salinity flux is always !-- given. DO l = 0, 1 !$OMP PARALLEL DO PRIVATE( i, j, k ) DO m = 1, bc_h(l)%ns i = bc_h(l)%i(m) j = bc_h(l)%j(m) k = bc_h(l)%k(m) sa_p(k+bc_h(l)%koff,j,i) = sa_p(k,j,i) ENDDO ENDDO ! !-- Top boundary: Dirichlet or Neumann IF ( ibc_sa_t == 0 ) THEN sa_p(nzt+1,:,:) = sa(nzt+1,:,:) ELSEIF ( ibc_sa_t == 1 ) THEN sa_p(nzt+1,:,:) = sa_p(nzt,:,:) ENDIF END SUBROUTINE ocean_boundary_conditions !------------------------------------------------------------------------------! ! Description: ! ------------ !> Swapping of timelevels. !------------------------------------------------------------------------------! SUBROUTINE ocean_swap_timelevel( mod_count ) IMPLICIT NONE INTEGER, INTENT(IN) :: mod_count !< flag defining where pointers point to SELECT CASE ( mod_count ) CASE ( 0 ) IF ( salinity ) THEN sa => sa_1; sa_p => sa_2 ENDIF CASE ( 1 ) IF ( salinity ) THEN sa => sa_2; sa_p => sa_1 ENDIF END SELECT END SUBROUTINE ocean_swap_timelevel !------------------------------------------------------------------------------! ! Description: ! ------------ !> This routine reads the respective restart data for the ocean module. !------------------------------------------------------------------------------! SUBROUTINE ocean_rrd_global( found ) USE control_parameters, & ONLY: length, restart_string IMPLICIT NONE LOGICAL, INTENT(OUT) :: found found = .TRUE. SELECT CASE ( restart_string(1:length) ) CASE ( 'bc_sa_t' ) READ ( 13 ) bc_sa_t CASE ( 'bottom_salinityflux' ) READ ( 13 ) bottom_salinityflux CASE ( 'salinity' ) READ ( 13 ) salinity CASE ( 'sa_init' ) READ ( 13 ) sa_init CASE ( 'sa_surface' ) READ ( 13 ) sa_surface CASE ( 'sa_vertical_gradient' ) READ ( 13 ) sa_vertical_gradient CASE ( 'sa_vertical_gradient_level' ) READ ( 13 ) sa_vertical_gradient_level CASE ( 'stokes_waveheight' ) READ ( 13 ) stokes_waveheight CASE ( 'stokes_wavelength' ) READ ( 13 ) stokes_wavelength CASE ( 'surface_cooling_spinup_time' ) READ ( 13 ) surface_cooling_spinup_time CASE ( 'top_salinityflux' ) READ ( 13 ) top_salinityflux CASE ( 'wall_salinityflux' ) READ ( 13 ) wall_salinityflux CASE ( 'wave_breaking' ) READ ( 13 ) wave_breaking CASE DEFAULT found = .FALSE. END SELECT END SUBROUTINE ocean_rrd_global !------------------------------------------------------------------------------! ! Description: ! ------------ !> This routine reads the respective restart data for the ocean module. !------------------------------------------------------------------------------! SUBROUTINE ocean_rrd_local( k, nxlf, nxlc, nxl_on_file, nxrf, nxrc, & nxr_on_file, nynf, nync, nyn_on_file, nysf, & nysc, nys_on_file, tmp_3d, found ) USE averaging, & ONLY: rho_ocean_av, sa_av USE control_parameters, & ONLY: length, restart_string USE indices, & ONLY: nbgp, nxlg, nxrg, nyng, nysg, nzb, nzt USE pegrid IMPLICIT NONE INTEGER(iwp) :: k !< INTEGER(iwp) :: nxlc !< INTEGER(iwp) :: nxlf !< INTEGER(iwp) :: nxl_on_file !< INTEGER(iwp) :: nxrc !< INTEGER(iwp) :: nxrf !< INTEGER(iwp) :: nxr_on_file !< INTEGER(iwp) :: nync !< INTEGER(iwp) :: nynf !< INTEGER(iwp) :: nyn_on_file !< INTEGER(iwp) :: nysc !< INTEGER(iwp) :: nysf !< INTEGER(iwp) :: nys_on_file !< LOGICAL, INTENT(OUT) :: found REAL(wp), DIMENSION(nzb:nzt+1,nys_on_file-nbgp:nyn_on_file+nbgp,nxl_on_file-nbgp:nxr_on_file+nbgp) :: tmp_3d !< found = .TRUE. SELECT CASE ( restart_string(1:length) ) CASE ( 'rho_ocean_av' ) IF ( .NOT. ALLOCATED( rho_ocean_av ) ) THEN ALLOCATE( rho_ocean_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) ENDIF IF ( k == 1 ) READ ( 13 ) tmp_3d rho_ocean_av(:,nysc-nbgp:nync+nbgp,nxlc-nbgp:nxrc+nbgp) = & tmp_3d(:,nysf-nbgp:nynf+nbgp,nxlf-nbgp:nxrf+nbgp) CASE ( 'sa' ) IF ( k == 1 ) READ ( 13 ) tmp_3d sa(:,nysc-nbgp:nync+nbgp,nxlc-nbgp:nxrc+nbgp) = & tmp_3d(:,nysf-nbgp:nynf+nbgp,nxlf-nbgp:nxrf+nbgp) CASE ( 'sa_av' ) IF ( .NOT. ALLOCATED( sa_av ) ) THEN ALLOCATE( sa_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) ENDIF IF ( k == 1 ) READ ( 13 ) tmp_3d sa_av(:,nysc-nbgp:nync+nbgp,nxlc-nbgp:nxrc+nbgp) = & tmp_3d(:,nysf-nbgp:nynf+nbgp,nxlf-nbgp:nxrf+nbgp) CASE DEFAULT found = .FALSE. END SELECT END SUBROUTINE ocean_rrd_local !------------------------------------------------------------------------------! ! Description: ! ------------ !> This routine writes the respective restart data for the ocean module. !------------------------------------------------------------------------------! SUBROUTINE ocean_wrd_global IMPLICIT NONE CALL wrd_write_string( 'bc_sa_t' ) WRITE ( 14 ) bc_sa_t CALL wrd_write_string( 'bottom_salinityflux' ) WRITE ( 14 ) bottom_salinityflux CALL wrd_write_string( 'salinity' ) WRITE ( 14 ) salinity CALL wrd_write_string( 'sa_init' ) WRITE ( 14 ) sa_init CALL wrd_write_string( 'sa_surface' ) WRITE ( 14 ) sa_surface CALL wrd_write_string( 'sa_vertical_gradient' ) WRITE ( 14 ) sa_vertical_gradient CALL wrd_write_string( 'sa_vertical_gradient_level' ) WRITE ( 14 ) sa_vertical_gradient_level CALL wrd_write_string( 'stokes_waveheight' ) WRITE ( 14 ) stokes_waveheight CALL wrd_write_string( 'stokes_wavelength' ) WRITE ( 14 ) stokes_wavelength CALL wrd_write_string( 'surface_cooling_spinup_time' ) WRITE ( 14 ) surface_cooling_spinup_time CALL wrd_write_string( 'top_salinityflux' ) WRITE ( 14 ) top_salinityflux CALL wrd_write_string( 'wall_salinityflux' ) WRITE ( 14 ) wall_salinityflux CALL wrd_write_string( 'wave_breaking' ) WRITE ( 14 ) wave_breaking END SUBROUTINE ocean_wrd_global !------------------------------------------------------------------------------! ! Description: ! ------------ !> This routine writes the respective restart data for the ocean module. !------------------------------------------------------------------------------! SUBROUTINE ocean_wrd_local USE averaging, & ONLY: rho_ocean_av, sa_av IMPLICIT NONE IF ( ALLOCATED( rho_ocean_av ) ) THEN CALL wrd_write_string( 'rho_ocean_av' ) WRITE ( 14 ) rho_ocean_av ENDIF CALL wrd_write_string( 'sa' ) WRITE ( 14 ) sa IF ( ALLOCATED( sa_av ) ) THEN CALL wrd_write_string( 'sa_av' ) WRITE ( 14 ) sa_av ENDIF END SUBROUTINE ocean_wrd_local !------------------------------------------------------------------------------! ! Description: ! ------------ !> This routine calculates the Craik Leibovich vortex force and the additional !> effect of the Stokes drift on the Coriolis force !> Call for all gridpoints. !------------------------------------------------------------------------------! SUBROUTINE stokes_drift_terms( component ) USE arrays_3d, & ONLY: ddzu, u, u_stokes_zu, u_stokes_zw, v, v_stokes_zu, & v_stokes_zw, w, tend USE basic_constants_and_equations_mod, & ONLY: pi USE control_parameters, & ONLY: f, fs, message_string, rotation_angle USE grid_variables, & ONLY: ddx, ddy USE indices, & ONLY: nxl, nxr, nys, nysv, nyn, nzb, nzt IMPLICIT NONE INTEGER(iwp) :: component !< component of momentum equation INTEGER(iwp) :: i !< loop index along x INTEGER(iwp) :: j !< loop index along y INTEGER(iwp) :: k !< loop index along z REAL(wp) :: cos_rot_angle !< cosine of model rotation angle REAL(wp) :: sin_rot_angle !< sine of model rotation angle ! !-- Compute Stokes terms for the respective velocity components SELECT CASE ( component ) ! !-- u-component CASE ( 1 ) DO i = nxl, nxr DO j = nysv, nyn DO k = nzb+1, nzt tend(k,j,i) = tend(k,j,i) + v_stokes_zu(k) * ( & 0.5 * ( v(k,j+1,i) - v(k,j+1,i-1) & + v(k,j,i) - v(k,j,i-1) ) * ddx & - 0.5 * ( u(k,j+1,i) - u(k,j-1,i) ) * ddy & ) & + f * v_stokes_zu(k) ENDDO ENDDO ENDDO ! !-- v-component CASE ( 2 ) DO i = nxl, nxr DO j = nysv, nyn DO k = nzb+1, nzt tend(k,j,i) = tend(k,j,i) - u_stokes_zu(k) * ( & 0.5 * ( v(k,j,i+1) - v(k,j,i-1) ) * ddx & - 0.5 * ( u(k,j,i) - u(k,j-1,i) & + u(k,j,i+1) - u(k,j-1,i+1) ) * ddy & ) & - f * u_stokes_zu(k) ENDDO ENDDO ENDDO ! !-- w-component CASE ( 3 ) ! !-- Precalculate cosine and sine of rotation angle cos_rot_angle = COS( rotation_angle * pi / 180.0_wp ) sin_rot_angle = SIN( rotation_angle * pi / 180.0_wp ) DO i = nxl, nxr DO j = nys, nyn DO k = nzb+1, nzt tend(k,j,i) = tend(k,j,i) + u_stokes_zw(k) * ( & 0.5 * ( u(k+1,j,i) - u(k,j,i) & + u(k+1,j,i+1) - u(k,j,i+1) & ) * ddzu(k+1) & - 0.5 * ( w(k,j,i+1) - w(k,j,i-1) & ) * ddx ) & - v_stokes_zw(k) * ( & 0.5 * ( w(k,j+1,i) - w(k,j-1,i) & ) * ddy & - 0.5 * ( v(k+1,j,i) - v(k,j,i) & + v(k+1,j+1,i) - v(k,j+1,i) & ) * ddzu(k) ) & + fs * ( & sin_rot_angle * v_stokes_zw(k) & + cos_rot_angle * u_stokes_zw(k) & ) ENDDO ENDDO ENDDO CASE DEFAULT WRITE( message_string, * ) 'wrong component of Stokes force: ', & component CALL message( 'stokes_drift_terms', 'PA0091', 1, 2, 0, 6, 0 ) END SELECT END SUBROUTINE stokes_drift_terms !------------------------------------------------------------------------------! ! Description: ! ------------ !> This routine calculates the Craik Leibovich vortex force and the additional !> effect of the Stokes drift on the Coriolis force !> Call for gridpoints i,j. !------------------------------------------------------------------------------! SUBROUTINE stokes_drift_terms_ij( i, j, component ) USE arrays_3d, & ONLY: ddzu, u, u_stokes_zu, u_stokes_zw, v, v_stokes_zu, & v_stokes_zw, w, tend USE basic_constants_and_equations_mod, & ONLY: pi USE control_parameters, & ONLY: f, fs, message_string, rotation_angle USE grid_variables, & ONLY: ddx, ddy USE indices, & ONLY: nzb, nzt IMPLICIT NONE INTEGER(iwp) :: component !< component of momentum equation INTEGER(iwp) :: i !< loop index along x INTEGER(iwp) :: j !< loop index along y INTEGER(iwp) :: k !< loop incex along z REAL(wp) :: cos_rot_angle !< cosine of model rotation angle REAL(wp) :: sin_rot_angle !< sine of model rotation angle ! !-- Compute Stokes terms for the respective velocity components SELECT CASE ( component ) ! !-- u-component CASE ( 1 ) DO k = nzb+1, nzt tend(k,j,i) = tend(k,j,i) + v_stokes_zu(k) * ( & 0.5 * ( v(k,j+1,i) - v(k,j+1,i-1) & + v(k,j,i) - v(k,j,i-1) ) * ddx & - 0.5 * ( u(k,j+1,i) - u(k,j-1,i) ) * ddy & ) & + f * v_stokes_zu(k) ENDDO ! !-- v-component CASE ( 2 ) DO k = nzb+1, nzt tend(k,j,i) = tend(k,j,i) - u_stokes_zu(k) * ( & 0.5 * ( v(k,j,i+1) - v(k,j,i-1) ) * ddx & - 0.5 * ( u(k,j,i) - u(k,j-1,i) & + u(k,j,i+1) - u(k,j-1,i+1) ) * ddy & ) & - f * u_stokes_zu(k) ENDDO ! !-- w-component CASE ( 3 ) ! !-- Precalculate cosine and sine of rotation angle cos_rot_angle = COS( rotation_angle * pi / 180.0_wp ) sin_rot_angle = SIN( rotation_angle * pi / 180.0_wp ) DO k = nzb+1, nzt tend(k,j,i) = tend(k,j,i) + u_stokes_zw(k) * ( & 0.5 * ( u(k+1,j,i) - u(k,j,i) & + u(k+1,j,i+1) - u(k,j,i+1) & ) * ddzu(k+1) & - 0.5 * ( w(k,j,i+1) - w(k,j,i-1) & ) * ddx ) & - v_stokes_zw(k) * ( & 0.5 * ( w(k,j+1,i) - w(k,j-1,i) & ) * ddy & - 0.5 * ( v(k+1,j,i) - v(k,j,i) & + v(k+1,j+1,i) - v(k,j+1,i) & ) * ddzu(k) ) & + fs * ( sin_rot_angle * v_stokes_zw(k) & + cos_rot_angle * u_stokes_zw(k) & ) ENDDO CASE DEFAULT WRITE( message_string, * ) ' wrong component: ', component CALL message( 'stokes_drift_terms', 'PA0091', 1, 2, 0, 6, 0 ) END SELECT END SUBROUTINE stokes_drift_terms_ij !------------------------------------------------------------------------------! ! Description: ! ------------ !> This routine calculates turbulence generated by wave breaking near the ocean !> surface, following a parameterization given in Noh et al. (2004), JPO !> Call for all gridpoints. !> TODO: so far, this routine only works if the model time step has about the !> same value as the time scale of wave breaking! !------------------------------------------------------------------------------! SUBROUTINE wave_breaking_term( component ) USE arrays_3d, & ONLY: u_p, v_p USE control_parameters, & ONLY: dt_3d, message_string USE indices, & ONLY: nxl, nxlu, nxr, nys, nysv, nyn, nzt IMPLICIT NONE INTEGER(iwp) :: component !< component of momentum equation INTEGER(iwp) :: i !< loop index along x INTEGER(iwp) :: j !< loop index along y REAL(wp) :: random_gauss !< function that creates a random number with a !< Gaussian distribution ! !-- Compute wave breaking terms for the respective velocity components. !-- Velocities are directly manipulated, since this is not a real force SELECT CASE ( component ) ! !-- u-component CASE ( 1 ) DO i = nxlu, nxr DO j = nys, nyn u_p(nzt,j,i) = u_p(nzt,j,i) + & ( random_gauss( iran_ocean, 1.0_wp ) - 1.0_wp ) & * alpha_wave_breaking * u_star_wave_breaking & / timescale_wave_breaking * dt_3d ENDDO ENDDO ! !-- v-component CASE ( 2 ) DO i = nxl, nxr DO j = nysv, nyn v_p(nzt,j,i) = v_p(nzt,j,i) + & ( random_gauss( iran_ocean, 1.0_wp ) - 1.0_wp ) & * alpha_wave_breaking * u_star_wave_breaking & / timescale_wave_breaking * dt_3d ENDDO ENDDO CASE DEFAULT WRITE( message_string, * ) 'wrong component of wave breaking: ', & component CALL message( 'stokes_drift_terms', 'PA0466', 1, 2, 0, 6, 0 ) END SELECT END SUBROUTINE wave_breaking_term !------------------------------------------------------------------------------! ! Description: ! ------------ !> This routine calculates turbulence generated by wave breaking near the ocean !> surface, following a parameterization given in Noh et al. (2004), JPO !> Call for gridpoint i,j. !> TODO: so far, this routine only works if the model time step has about the !> same value as the time scale of wave breaking! !------------------------------------------------------------------------------! SUBROUTINE wave_breaking_term_ij( i, j, component ) USE arrays_3d, & ONLY: u_p, v_p USE control_parameters, & ONLY: dt_3d, message_string USE indices, & ONLY: nzt IMPLICIT NONE INTEGER(iwp) :: component !< component of momentum equation INTEGER(iwp) :: i !< loop index along x INTEGER(iwp) :: j !< loop index along y REAL(wp) :: random_gauss !< function that creates a random number with a !< Gaussian distribution ! !-- Compute wave breaking terms for the respective velocity components SELECT CASE ( component ) ! !-- u-/v-component CASE ( 1 ) u_p(nzt,j,i) = u_p(nzt,j,i) + & ( random_gauss( iran_ocean, 1.0_wp ) - 1.0_wp ) & * alpha_wave_breaking * u_star_wave_breaking & / timescale_wave_breaking * dt_3d CASE ( 2 ) v_p(nzt,j,i) = v_p(nzt,j,i) + & ( random_gauss( iran_ocean, 1.0_wp ) - 1.0_wp ) & * alpha_wave_breaking * u_star_wave_breaking & / timescale_wave_breaking * dt_3d CASE DEFAULT WRITE( message_string, * ) 'wrong component of wave breaking: ', & component CALL message( 'stokes_drift_terms', 'PA0466', 1, 2, 0, 6, 0 ) END SELECT END SUBROUTINE wave_breaking_term_ij END MODULE ocean_mod